Q: What are the factor combinations of the number 155,440,313?

 A:
Positive:   1 x 1554403137 x 2220575943 x 3614891101 x 1539013301 x 516413707 x 2198594343 x 357915113 x 30401
Negative: -1 x -155440313-7 x -22205759-43 x -3614891-101 x -1539013-301 x -516413-707 x -219859-4343 x -35791-5113 x -30401


How do I find the factor combinations of the number 155,440,313?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 155,440,313, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 155,440,313
-1 -155,440,313

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 155,440,313.

Example:
1 x 155,440,313 = 155,440,313
and
-1 x -155,440,313 = 155,440,313
Notice both answers equal 155,440,313

With that explanation out of the way, let's continue. Next, we take the number 155,440,313 and divide it by 2:

155,440,313 ÷ 2 = 77,720,156.5

If the quotient is a whole number, then 2 and 77,720,156.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 155,440,313
-1 -155,440,313

Now, we try dividing 155,440,313 by 3:

155,440,313 ÷ 3 = 51,813,437.6667

If the quotient is a whole number, then 3 and 51,813,437.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 155,440,313
-1 -155,440,313

Let's try dividing by 4:

155,440,313 ÷ 4 = 38,860,078.25

If the quotient is a whole number, then 4 and 38,860,078.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 155,440,313
-1 155,440,313
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17431013017074,3435,11330,40135,791219,859516,4131,539,0133,614,89122,205,759155,440,313
-1-7-43-101-301-707-4,343-5,113-30,401-35,791-219,859-516,413-1,539,013-3,614,891-22,205,759-155,440,313

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